What is the Least Common Multiple of 93503 and 93523?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 93503 and 93523 is 8744681069.
LCM(93503,93523) = 8744681069
Least Common Multiple of 93503 and 93523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93503 and 93523, than apply into the LCM equation.
GCF(93503,93523) = 1
LCM(93503,93523) = ( 93503 × 93523) / 1
LCM(93503,93523) = 8744681069 / 1
LCM(93503,93523) = 8744681069
Least Common Multiple (LCM) of 93503 and 93523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93503 and 93523. First we will calculate the prime factors of 93503 and 93523.
Prime Factorization of 93503
Prime factors of 93503 are 93503. Prime factorization of 93503 in exponential form is:
93503 = 935031
Prime Factorization of 93523
Prime factors of 93523 are 93523. Prime factorization of 93523 in exponential form is:
93523 = 935231
Now multiplying the highest exponent prime factors to calculate the LCM of 93503 and 93523.
LCM(93503,93523) = 935031 × 935231
LCM(93503,93523) = 8744681069
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